Square root of 6762
The square root of 6762 is 82.231381 (rounded to 6 decimal places). In simplest radical form it is 7ā138.
Square root of 6762
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 6762 is the number that multiplied by itself gives 6762.
- 2
6762 is between the perfect squares 82Ā² = 6724 and 83Ā² = 6889, so its square root is between 82 and 83.
- 3
Pull out the biggest square factor: 6762 = 49 Ć 138, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{6762} = 7\sqrt{138} \approx 82.231381 \]
\[ \sqrt{6762} = \sqrt{49 \times 138} = 7\sqrt{138} \]
\[ \sqrt{6762} \approx 82.231381 \]Squares around 6762
| Number | Squared |
|---|---|
| 81 | 6561 |
| 82 | 6724 |
| 83 | 6889 |
| 84 | 7056 |
Questions
What is the square root of 6762?
The square root of 6762 is 82.231381 (rounded to 6 decimal places). In simplest radical form it is 7ā138.
Is 6762 a perfect square?
No. It lies between 82Ā² = 6724 and 83Ā² = 6889.
What is 6762 squared?
6762 Ć 6762 = 45724644.
What is the square root of 6762 rounded to 2 decimals?
82.23.